NEED HELP ASAP WITH MATH TEST

Question

PLEASE HELP SOLVE AND SHOW WORK

(tan(4π/15)+tan(π/15)) / (1−tan(4π/15)tan(π/15))

Answer 1

From the trig identity tan(a+b) = [tan(a) + tan(b)]/[1 - tan(a) tan(b)], the given expression is

tan(4π/15 + π/15) = tan(4π/15) = tan(π/3) = sqrt(3) = 1.73

Answer 2

tan(a+b) = (tan(a)+tan(b))/(1-tan(a)tan(b))

a = 4π/15

b = π/15

a+b = 5π/15 = π/3

tan(π/3) = tan(60°) is a known value. (Hint, look at the Trig unit circle)